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Sinopsis
The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds.
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Reseña del editor
The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds.
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Differential Systems and Isometric Embeddings. [original 1987 hardcover edition].
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Princeton University Press, Princeton, New Jersey, 1987
ISBN 10: 0691084297
ISBN 13: 9780691084299
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Librería: Emile Kerssemakers ILAB, Heerlen, Holanda
Calificación del vendedor: 5 de 5 estrellas
24 x 16 cm, hardcover, x, 224 pages, Text in English, very good/ fine, see picture. Annals of Mathematics Studies, vol. 114. The William H. Roever Lectures in Geometry, Washington University, St. Louis. Advanced monograph on exterior differential systems and their applications to local isometric embedding problems. 500g. Nº de ref. del artículo: 81098
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